When a potential difference of 2 volt is applied across the ends of a wire of 5 metre length a current of 1 ampere flows through it,calculate :-
(i) the resistance per unit length of the wire
(ii) the resistance of 2 metre length of the wire
(iii) the resistance across the ends of the wire if it is doubled on itself

Answers

Answer 1

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(i) 0.4 Ω m^-1

(ii) 0.8 Ω

(iii) 0.5 Ω

Explanation:

(i) Given, V = 2 volt, I = 1 A

Resistance of 5 m length of wire :-

[tex] = > R = \frac{V}{I} = \frac{2}{1} = 2 \: Ω [/tex]

Resistance per unit length of the wire :-

[tex] = > \frac{R}{l} = \frac{2}{5} = 0.4 \: Ω \: {m}^{ - 1} [/tex]

(ii) Resistance of 2m length of the wire~

[tex] = \: 0.4 \: Ω \: {m}^{ - 1} \times 2 \: m = 0.8 \: Ω [/tex]

(iii) When the wire is doubled on itself, its area of cross section becomes twice and the length becomes half. Let a be the initial cross section and ρ be the specific resistance of the material of wire. Then,

[tex]from \ relation \: \: ➪ \: R = ρ \times \frac{1}{a}. \\ \\ we \: have, \\ \\ initial \: resistance \:➪ \: 2 = ρ\times \frac{5}{a}....eqn(i) \\ \\ new \: resistance \: ➪ \: R` = ρ\times \frac{2.5}{2a}....eqn(ii) \\ \\ on \: dividing \: eqn(ii) \: by \: eqn(i)... \\ \\ \frac{R`}{2} = \frac{2.5ρ}{2a} \div \frac{5ρ}{a} = \frac{1}{4} \\ \\ R` = \frac{2}{4} = 0.5 \: Ω[/tex]

Thus, on doubling the wire on itself, its resistance becomes one-fourth.

Hope it helps you!!

Related Questions

What is the density of the unknown liquid?

Answers

The density of the unknown liquid is 650.67 kg/m³

Determine the density of the unknown liquid

First step : determine the mass in air

The Tension in air = mg

therefore Mass in air ( m ) = Tension in air / g

                                           = 3.78 kg

Considering Tension in water

T = 29.6 N

29.6 = 4/3 * πR³ * ( р - б ) g   ----- ( 1 )

where : р = mass density, б = water density

Considering Tension in other liquid

T = 19.1 N

19.1 = 4/3 * πR³ * ( р - б' ) g  ------ ( 2 )

Final step : Determine the density of the unknown liquid

Divide equation ( 1 ) by equation ( 2 )

1.54 = ( р - б ) / ( р - б' )

0.54 р + б = 1.54 * б'

therefore ( б' ) density of uknown liquid

= 650.67 Kg/m³

Hence we can conclude that The density of the unknown liquid is 650.67 kg/m³

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What does least count of screw gauge mean?​

Answers

Answer:

Least count of a screw gauge is the minimum length that we can measure using a screw gauge. We can measure the least count of the screw gauge by measuring the pitch of the screw gauge and the number of divisions on the circular scale.

Answer:

The minimum amount of value or number which can be measured by a screw gauge is called its least count or L.C

Explanation:

You are in a car traveling at 25.6 m/s. A second car is moving toward you at the same speed. Its horn is sounding at 482 Hz. What frequency do you hear to two decimal places?

Answers

Answer:    Let the speed of sound equal 331 m/s

f = f0 ( (V ± Vo) / V)      observer moving

f = 482 (331 + 25.6) / 331 = 519 /s    (observer moving towards source)

f = 519 (331 / (331 - 25.6) = 563 / s    (source moving towards observer)

Check: For both moving:

f = f0 ((331 + 25.6) / (331 - 25.6)) = 1.17 f0 = 482 * 1.17 = 563 / s

The turn signal belongs to which subsystem of an automobile?

A.
transmission


B.
fuel

C.
suspension

D.
control

Answers

The turn signal belongs to the control subsystem of an automobile.

What turn signal ?

Turn signals serves as the control that help motorists to react and plan for road user making a turn in front of them.

This is part of the subsystem of an automobile. which help to maintain the best driving experience on the road.

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Choose the answer choice that BEST completes the following sentence:
The
of the Sun is the interior or center part of this star.
O Radiative Zone
O Core
O Convective Zone
O Photosphere

Answers

The core of the Sun is the interior or center part of this star.

The features of the sun

The sun is one of the stars of the solar system that gives life to the planet earth. All the other planets revolves round it.

The features of the sun include the following:

sunspots,

solar prominences,

solar flares, and

coronal mass ejections.

The sun is also made up of several parts which include:

Hydrogen and helium.

The core,

The radiative zone,

The convective zone, and

The photosphere.

The innermost or central part of the sun is the core that is made up of the highest amount of hydrogen atoms.

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are cells smaller and simpler than either tissues or organs

Answers

Answer:

yes

Explanation:

tissues and organs are made of cells therefore cells have to be smaller and simpler

A ball with a mass of 15kg sits at rest on
top of a tall 5m table. What is the
gravitational potential energy of the ball?
a

Answers

Answer:

735 J

Explanation:

Formula

Gravitational Potential Energy (GPE) = mgh

Given

m = 15 kgh = 5 mg = 9.8 m/s

Solving

GPE = 15 x 5 x 9.8GPE = 75 x 9.8GPE = 735 J

A police car siren emits a frequency of
2010 Hz when stationary. Another car
hears a 1920 Hz sound when it drives
away from the stationary police car.
How fast is the second car driving?
(Speed of sound = 343 m/s)
(Unit = m/s)

Answers

Speed of second car  will be 15.35 m/s

What is Doppler effect ?

The Doppler effect is the apparent change in frequency of a wave when the observer and the source of the wave move relative to each other.

f0= observed frequency = 1920 Hz

v = speed of source = 343 m/s

v0 = speed of observer = ?

fs = frequency of source = 2010 Hz

from Doppler effect

f0 = (v -v0 / v) * fs

1920 / 2010 = (343 - v0)/ 343

(192/ 201) * 343 = 343 - v0

v0 = (343 * 9) / 201 = 15.35 m/s

Speed of second car  will be 15.35 m/s

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What initial speed is required for a 1 m (39.4”) vertical jump?

Answers

Answer: 4.4m/s

Explanation:

Which statement is the best description of force?

Answers

Answer:

it is a push or pull

Explanation:

short and best description

Answer:

A force is a push or pull upon an object resulting from the object's interaction with another object.

or

 push or pull.

Explanation:

help please! (edge physics b - waves and diffraction)

Answers

#1

Use trigonometry to find defraction angle

B=25H=50

So

cosA=B/HcosA=25/50cosA=1/2A=cos^{-1}(1/2)A=π/3 or 60°

#2

In radians it's π/3In degrees it's 60°

An athlete swings a 5.00-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.800 m at an angular speed of 0.500 rev/s. If the maximum tension the rope can withstand before breaking is 100 N, what is the maximum tangential speed the ball can have?

Answers

Answer:

1kg is the answer i think

If the error in the angle is 0.50, the error in sin 90o is​

Answers

At the given erro in angle, the error in the measurement of sin 90 degrees would be 0.001.

Percentage error

The percentage error of any measurement is obtained from the ratio of the error to the actual measurement.

The error of sin 90 degrees is calculated as follows;

sin 90 = 1

error in measurement = sin(90 - 0.5)

error in measurement = sin(89.5) = 0.999

Error in sin 90 degrees

Error in sin 90 degrees = 1 - 0.999

Error in sin 90 degrees = 0.001

Thus, at the given erro in angle, the error in sin 90 degrees would be 0.001.

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What is temporary magnet ?

Answers

Explanation:

Temporary magnets are the magnets made of comparatively softer ferrous or irons.They are used because of their ability to magnetize easily and faster.

They are useful until the magnetic flow is continuing else they become useless

What is a longitudinal wave?

The matter through which a mechanical wave travels
The particles of a medium that travel parallel to a wave
The particles of a medium that travel perpendicular to a wave
Two lines that meet at a right angle

Answers

Answer:

b

Explanation:

Source is parallel to the propagation.

A box shaped wooden stove has dimensions of 0.75 m *1.2 m*0.4 m. An emissity of 0.85 and surface temperature of 205 degrees Celsius. Calculate it's rate of radiation into surrounding space

Answers

The rate of radiation into surrounding space of the box shaped wooden stove at a temperature of 205 degrees Celsius is 8,453.82 J/s.

Rate of radiation of the wooden stove

The rate of radiation of the wooden stove is calculated as follows;

P =  εAσT4

Where:  

ε is emissivity of the SurfaceA is surface Areaσ is Stefan-Boltzmann Constant, 5.67 x 10⁻⁸ W/m²K⁴T is temperature in Kelvin, 205 ⁰C = 205 + 273 = 478 KSurface area of the box

A = 2(Lw + Lh + Wh)

A = 2(0.75 x 1.2  +   0.75 x 0.4   + 1.2 x 0.4)

A = 3.36 m²

P = 0.85 x 3.36 x (5.67 x 10⁻⁸) x (478)⁴

P = 8,453.82 J/s

Thus, the rate of radiation into surrounding space of the box shaped wooden stove at a temperature of 205 degrees Celsius is 8,453.82 J/s.

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Look at the image below. Because the atoms of these noble gases have stable arrangements of electrons, the elements are all __________. What is the missing word?

Answers

The atoms of these noble gases have stable arrangements of electrons, the elements are all inert.

What are inert gases?

The term inert gases has to do with those gases that are not reactive. The atoms of these elements have a complete octet of electrons hence they are unreactive.

As such,  the atoms of these noble gases have stable arrangements of electrons, the elements are all inert.

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If an ice skater pulls their hands towards their body, will their angular momentum and kinetic energy both increase?

Answers

Answer:

The angular momentum depends on both the angular velocity and the mass distribution of the object. You can change this angular momentum by exerting a torque (a twisting force)—but with no external torque, the angular momentum is conserved. Now getting back to the ice skater.

Suppose two cars collide with each other

How can you minimize the danger to the passengers of the colliding cars?

Use the conservation of momentum to answer the question ​

Answers

We can minimize the danger to the passengers of the colliding cars by slowing down the car, by use airbag and other safety measures.

What is collision?

The abrupt, violent coming together in direct contact of two bodies is known as the collision.a falling object and a floor are examples of collision.

When the distance between two ships decreases while the bearings remain constant, a collision occurs.

If you can't discover an exit route and are almost certain to collide with anybody, you must slow down considerably. Any decrease in speed will lessen the harm to you, your vehicle, and your riders.

According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.

According to the law of conservation of momentum;

Momentum before collision =Momentum after collision

By the law of conservation of momentum, we understand the momentum get conserved. So we can find the collision velocity and reduces the chances of collision.

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26. What is the difference between an input force and output force?

Answers

Answer:

input force is force applied to overcome the load and the output force is the force overcome by the effort

Explanation:

effort is equal to input and load is equal to the output

Which example is an abiotic factor of an aquarium environment?

Answers

Answer:

See Explanation

Explanation:

salt, water, rocks, sediment, trash.

Abiotic factors are non-living organisms in an ecosystem.

Hope this helps and have a nice day

A particle with a charge of +8nC is in a uniform electric field directed to the left. It is released from rest and moves to the left. After it as moved 3cm, its kinetic energy was found to be 5x 10^(-4) J. What work was done by electric force?

Answers

The work done by the electric force of the charge is equal to the change in kinetic energy, equal to 5x [tex]10^{-4}[/tex] J.

What is the work-energy theorem?

The work done by the body in motion is equal to the change in kinetic energy or the difference between the final and initial kinetic energy.

[tex]W=[/tex]Δ[tex]K.E=K.E_{f} -K.E_{i}[/tex]

Given, the kinetic energy found when the charge has moved 3 cm is  5x [tex]10^{-4}[/tex] J.

Therefore, work done by the electric force, [tex]W=[/tex]  5x [tex]10^{-4}[/tex] J.

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An electric space heater is connected across a 120 V outlet the heater dissipates 1320 W of power in the form of electromagnetic radiation and heat calculate the resistance of the heater

Answers

The resistance of the electric space heater dissipating the given amount of power is 10.9Ω.

Ohm's law

Ohm's law states that "the voltage across the cross-section of a conductor is directly proportional to the current passing through it.

It is expressed as;

V = I × R

Where V is voltage, I is current and R is resistance.

Also, electrical power is the product of current and voltage.

P = I × V meaning I = P/V

Hence,

V = (P/V) × R

R = V² / P

Given the data in the question;

Voltage V = 120VPower P = 1320WResistance of the heater R = ?

To determine the resistance of the heater, we substitute our given values into the derived expression above.

R = V² / P

R = (120V)² / 1320W

R = 14400V² / 1320W

R = 10.9Ω

Therefore, the resistance of the electric space heater dissipating the given amount of power is 10.9Ω.

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The ability of the medium to refract light rays? ​

Answers

Light Density

[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area}} [/tex] ~←(>▽<)ノ

From a graph v1 = 0.4m/s, v2 = 2.35m/s, t1 = 0.5s, t2 = 10.0s. The slope obtained using the above information is​

Answers

The slope of the velocity - time graph from the given data point is 0.21 m/s².

Slope of velocity - time graph

Acceleration is the rate of change of velocity with time. The slope of velocity - time graph is accelertion.

a = Δv/Δt

where;

a is accelerationΔv is change in velocityΔt is change in timeChange in velocity

Δv = v₂ - v₁

Δv = 2.35 - 0.4

Δv = 1.95 m/s

Change in time

Δt = t₂ - t₁

Δt = 10 - 0.5

Δt = 9.5 s

Slope of the graph

a = Δv/Δt

a = 1.95/9.5

a = 0.21 m/s²

Thus, the slope of the velocity - time graph from the given data point is 0.21 m/s².

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With the use of formula, the slope of the graph is 0.21 m/[tex]s^{2}[/tex]

SLOPE

The slope M of a graph is the gradient of the graph.

The formula for calculating slope M is;

M = [tex]\frac{V_{2} - V_{1} }{t_{2} - t_{1} }[/tex]

From a graph it is given that

v1 = 0.4m/s v2 = 2.35m/s t1 = 0.5s t2 = 10.0s.

The slope obtained using the above information can be calculated by using the formula above

M = (2.35 - 0.4) / ( 10 - 0.5 )

M = 1.95 / 9.5

M = 0.205 m/[tex]s^{2}[/tex]

Therefore, the slope of the graph is 0.21 m/[tex]s^{2}[/tex] approximately

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Which of the following mathematical operations are and are not not allowed on two quantities with different unit dimensions?
A) Allowed : Multiplication, Division, Equality , Not Allowed : Addition, Subtraction
B) Allowed : Addition, Subtraction , Not Allowed : Multiplication, Division, Equality
C) Allowed : Multiplication, Division , Not Allowed : Addition, Subtraction, Equality
D) Allowed : Addition, Multiplication , Not Allowed : Subtraction, Division, Equality
E) Allowed : Addition, Subtraction, Equality , Not Allowed : Multiplication, Division

Answers

The following mathematical operations are and are not allowed on two quantities with different unit dimensions are C) Allowed : Multiplication, Division , Not Allowed : Addition, Subtraction, Equality

To answer the question, we have to know what mathematical operations are.

What are Mathematical operations?

Mathematical operations are operations which are performed to change the value of a variable. The arithmetic mathematical operations we have are

addition, subtraction, multiplication, subtraction and equality which shows the relationship between two quantities.

Now, for two quantities with different unit dimensions, addition, subtraction and equality are not allowed because these mathematical operations require the quantities to be in the same unit dimensions

Also, for two different quantities with differnt unit dimensions, multiplication and division are allowed because these mathematical operations do not require the quantities to be in the same unit dimensions.

So, the mathematical operations that are allowed are multiplication and division while the mathematical operations that are not allowed are addition, subtraction and equality.

So, the following mathematical operations are and are not allowed on two quantities with different unit dimensions are C) Allowed : Multiplication, Division , Not Allowed : Addition, Subtraction, Equality

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Consider a particle of mass m acted on by a force F in an inertial frame.Prove that dK=F× ( d×r), where d×r is the change in position vector of a particle in a time d×t, and d×K is the corresponding change in the kinetic energy K=1÷2(mv²)

Answers

From the change in the kinetic energy of the particle, the force that acted on the particle from an inertial frame is proved as F(dr) = dK.

Kinetic energy of the particle

The kinetic energy of the particle is given as;

K.E = ¹/₂mv²

dK/dv = mv

m = dK/vdv

Force on the particle

The force on the particle is given by Newton's second law of motion;

F = ma

a = dv/dt

F = m(dv/dt)

F = (dK/vdv) (dv/dt)

F = dK/vdt

F(vdt) = dK

v = dr/dt

F (dr/dt) x (dt) = dK

F(dr) = dK, proved

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Changes of state
Study the heating curve shown.
Which statement is best supported by the information in
the heating curve?
Heating Curve of a Substance
T
U
O At segment T-U, the substance changes from a liquid
to a gas and does not change temperature.
At segment T-U, the substance changes from a gas
to a liquid and changes temperature.
O At segment Q-R, the substance releases heat and
increases in temperature.
O At segment Q-R, the substance absorbs heat and
decreases in temperature.
Temperature (Cº)
R
20
s
o
Heat Added (J)

Answers

Answer:

liquid to a gas and doesn't change T

Explanation:

that part of the line has no slope

Answer:

A. At segment T-U, the substance changes from a liquid to a gas and does not change temperature.

Explanation:

A light plastic cart and a heavy steel cart are both pushed with the same force for 1.0 s, starting from rest. After the force is removed, the momentum of the light plastic cart is ________ that of the heavy steel cart.

Answers

Answer:

my friend give options .............

How might a quota on foreign cars affect US economy?

Answers

Answer:

The numerical limits imposed on imported goods through quotas ultimately leads to higher prices paid by consumers. Essentially, the import quota prevents or limits domestic consumers from buying imported goods. The import quota reduces the supply of imports.

Explanation:

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